20414840400 has 240 divisors, whose sum is σ = 72942206400. Its totient is φ = 5422947840.

The previous prime is 20414840399. The next prime is 20414840431. The reversal of 20414840400 is 404841402.

It is a happy number.

20414840400 is a `hidden beast` number, since 204 + 14 + 8 + 40 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2901687 + ... + 2908713.

It is an arithmetic number, because the mean of its divisors is an integer number (303925860).

Almost surely, 2^20414840400 is an apocalyptic number.

20414840400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20414840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36471103200).

20414840400 is an abundant number, since it is smaller than the sum of its proper divisors (52527366000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20414840400 is a wasteful number, since it uses less digits than its factorization.

20414840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7323 (or 7306 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The spelling of 20414840400 in words is "twenty billion, four hundred fourteen million, eight hundred forty thousand, four hundred".